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Finding the Fourth Proportional to 9,624.62, 14,437.48 and 2,699.66

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Solution

The fourth proportional to 9,624.62, 14,437.48 and 2,699.66 is: 4,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.62 : 14,437.48 = 2,699.66 : x
  2. Step 2: Convert to fraction form
    9,624.62/14,437.48 = 2,699.66/x
  3. Step 3: Cross multiply
    9,624.62x = 14,437.48 × 2,699.66
  4. Step 4: Simplify right side
    9,624.62x = 38,976,287.26
  5. Step 5: Solve for x
    x = 38,976,287.26/9,624.62
  6. Step 6: Final answer
    x = 4,049.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.